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Finding the Third Proportional to 169,851 and 347,072

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Solution

The third proportional to 169,851 and 347,072 is: 709,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,851 : 347,072 = 347,072 : x
  2. Step 2: Convert to fraction form
    169,851/347,072 = 347,072/x
  3. Step 3: Cross multiply
    169,851x = 347,072 × 347,072
  4. Step 4: Simplify right side
    169,851x = 120,458,973,184
  5. Step 5: Solve for x
    x = 120,458,973,184/169,851
  6. Step 6: Final answer
    x = 709,203.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.